Interpolation and sampling in Hilbert spaces of holomorphic functions

In this paper we give new proofs of some theorems due to Seip, Seip-Wallstén and Lyubarskii-Seip on sequences of interpolation and sampling for spaces of analytic functions that are square integrable with respect to certain weights. The results are also given in a somewhat more general setting.

Detalles Bibliográficos
Autores: Berndtsson, Bo, Ortega Cerdà, Joaquim
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1995
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/164719
Acceso en línea:https://hdl.handle.net/2445/164719
Access Level:acceso abierto
Palabra clave:Funcions de variables complexes
Anàlisi funcional
Espais de Hilbert
Funcions analítiques
Functions of complex variables
Functional analysis
Hilbert space
Analytic functions
Descripción
Sumario:In this paper we give new proofs of some theorems due to Seip, Seip-Wallstén and Lyubarskii-Seip on sequences of interpolation and sampling for spaces of analytic functions that are square integrable with respect to certain weights. The results are also given in a somewhat more general setting.